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Finding the Fourth Proportional to 215.92, 297.84 and 138.36

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Solution

The fourth proportional to 215.92, 297.84 and 138.36 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 297.84 = 138.36 : x
  2. Step 2: Convert to fraction form
    215.92/297.84 = 138.36/x
  3. Step 3: Cross multiply
    215.92x = 297.84 × 138.36
  4. Step 4: Simplify right side
    215.92x = 41,209.14
  5. Step 5: Solve for x
    x = 41,209.14/215.92
  6. Step 6: Final answer
    x = 190.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.